Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 23 Jul 2019, 07:34

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If a, b, and c are nonzero numbers and a + b = c, which of t

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56366
If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

17 Feb 2014, 03:45
1
3
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:04) correct 11% (01:09) wrong based on 497 sessions

### HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a

Problem Solving
Question: 99
Category: Arithmetic Operations on rational numbers
Page: 74
Difficulty: 550

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________
Intern
Joined: 27 Oct 2011
Posts: 22
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

17 Feb 2014, 11:27
5
a + b = c ,
taking b to the other side, a = c-b ,
take a to the other side , 1 =$$\frac{c-b}{a}$$

option E.
_________________
oblige me with Kudos.
##### General Discussion
Math Expert
Joined: 02 Sep 2009
Posts: 56366
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

17 Feb 2014, 03:45
SOLUTION

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a

From a + b = c:

a = c - b;
b = c - a;
c = a + b.

Only option E yields 1: (c - b)/a = a/a = 1.

_________________
Manager
Joined: 11 Jan 2014
Posts: 87
Concentration: Finance, Statistics
GMAT Date: 03-04-2014
GPA: 3.77
WE: Analyst (Retail Banking)
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

17 Feb 2014, 05:47
1
Since we are given that a+b=c, the answer we have to pick has to be in one of the following forms:

a= c-b
b= c-a
c= a+b

The only valid choice is (E), since it is dividing equal values.
Manager
Joined: 20 Dec 2013
Posts: 225
Location: India
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

17 Feb 2014, 09:18
1
Option E.
(c-b)/a=(a+b-b)/a=1
Given c=a+b

Posted from my mobile device
Manager
Status: GMATting
Joined: 21 Mar 2011
Posts: 105
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

18 Feb 2014, 07:45
2
I know it is not the quickest/best approach but I used number picking strategy: a=3; b=4; c=7;

Sub these values and you can clearly find out that answer is 1, especially if you are not so good at using variables.
Math Expert
Joined: 02 Sep 2009
Posts: 56366
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

22 Feb 2014, 05:48
SOLUTION

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a

From a + b = c:

a = c - b;
b = c - a;
c = a + b.

Only option E yields 1: (c - b)/a = a/a = 1.

_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1787
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

21 Mar 2014, 00:38
2
One more method

Looking at the equation a+b = c,

we can conclude that c > a & c > b

Option A & Option D are not possible as a & b are on the same side of equation.

Option B & Option C will be negative as c > a & c > b

_________________
Kindly press "+1 Kudos" to appreciate
Intern
Joined: 24 Mar 2015
Posts: 2
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

01 Apr 2015, 12:19
Another way would be to just plug-in numbers for a,b and c.
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14620
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

02 Apr 2015, 22:38
Hi All,

This question is perfect for TESTing VALUES.

We're told that A, B and C are non-zero numbers and that A + B = C. We're asked which of the following answers is equal to 1.

IF....
A = 2
B = 3
C = 5

Answer A: (2-3)/5 = -1/5 NOT a match
Answer B: (2-5)/3 = -3/3 NOT a match
Answer C: (3-5)/2 = -2/2 NOT a match
Answer D: (3-2)/5 = 1/5 NOT a match
Answer E: (5-3)/2 = 2/2 This IS a match

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Manager
Joined: 11 Oct 2013
Posts: 103
Concentration: Marketing, General Management
GMAT 1: 600 Q41 V31
If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

23 Aug 2015, 00:24
We know that a + b = c.
So, c > b > a

Any option which has a - b, b - c, or a - c as numerator options will be incorrect --> such an option will deduce negative value.
This rules out option A, B and C.

It is also noteworthy that c cannot be in the denominator as it is the biggest of the three and the solution will be < 1.
This rules out option D.

Only option left is option E. You can either mark it, it test the option.

Another way would be to just solve the parent equation -
a + b = c
a = c - b
1 = (c - b)/a --> Answer choice E!

Cheers!
_________________
Its not over..
VP
Joined: 09 Mar 2016
Posts: 1273
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

### Show Tags

05 Mar 2018, 09:38
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a

Problem Solving
Question: 99
Category: Arithmetic Operations on rational numbers
Page: 74
Difficulty: 550

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

let a, b, c be 1, 2, 3 respectively.

test the values.

only E yields 1
Re: If a, b, and c are nonzero numbers and a + b = c, which of t   [#permalink] 05 Mar 2018, 09:38
Display posts from previous: Sort by